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Finding the Fourth Proportional to 470.92, 649.82 and 294.14

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Solution

The fourth proportional to 470.92, 649.82 and 294.14 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 649.82 = 294.14 : x
  2. Step 2: Convert to fraction form
    470.92/649.82 = 294.14/x
  3. Step 3: Cross multiply
    470.92x = 649.82 × 294.14
  4. Step 4: Simplify right side
    470.92x = 191,138.05
  5. Step 5: Solve for x
    x = 191,138.05/470.92
  6. Step 6: Final answer
    x = 405.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.